Details

sample138.0ms

Algorithm

intervals

Results

111.0ms

664×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3560
3	785
2	201
1	58
0	19

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.0b	(fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.0b	(fma a -12 4)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

0.0ms	(fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.0ms	(fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.0ms	(fma a -12 4)
1.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

series432.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
170.0ms	(fma (fma 4 a 4) (* a a) (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
51.0ms	(fma a -12 4)
98.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

simplify1.4s

Counts

56 → 56

Iterations

Iter	Nodes
done	5008
3	1535
2	371
1	143
0	80

prune409.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

1.0ms	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
1.0ms	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
1.0ms	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
16.0ms	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

series1.1s

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
248.0ms	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
263.0ms	(cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
309.0ms	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

simplify1.8s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	1300
2	512
1	203
0	92

prune755.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(cbrt (* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))))
0.2b	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
38×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
18×	`pow1`
14×	`pow1/3`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow-prod-down` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 115

Calls

4 calls:

8.0ms	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
8.0ms	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
5.0ms	(cbrt (* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))))
2.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

series1.3s

Counts

4 → 12

Calls

4 calls:

276.0ms	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
340.0ms	(* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
388.0ms	(cbrt (* (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))) (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))))
270.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

simplify2.0s

Counts

127 → 127

Iterations

Iter	Nodes
done	5002
3	1603
2	661
1	266
0	128

prune1.2s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

localize131.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
2.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
1.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
1.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

series1.0s

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
276.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
211.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
264.0ms	(cbrt (cbrt (fma (* b b) (fma a -12 4) (fma (fma a a (* b b)) (fma a a (* b b)) -1))))

simplify2.6s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
4	3389
3	867
2	275
1	109
0	59

prune815.0ms

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 0.0b

regimes404.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
0	13

end0.0ms

sample4.9s

Algorithm

intervals

Results

4.5s

20122×

body

valid